2513198382516 has 216 divisors, whose sum is σ = 6807213949536. Its totient is φ = 781322129280.

The previous prime is 2513198382403. The next prime is 2513198382521. The reversal of 2513198382516 is 6152838913152.

2513198382516 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 1 + 98 + 38 + 2 + 516 = 666.

It is a super-2 number, since 2×2513198382516² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541285291 + ... + 541289933.

It is an arithmetic number, because the mean of its divisors is an integer number (31514879396).

Almost surely, 2^{2513198382516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513198382516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403606974768).

2513198382516 is an abundant number, since it is smaller than the sum of its proper divisors (4294015567020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2513198382516 is a wasteful number, since it uses less digits than its factorization.

2513198382516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5375 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 2513198382516 in words is "two trillion, five hundred thirteen billion, one hundred ninety-eight million, three hundred eighty-two thousand, five hundred sixteen".